Convert em to inch

Learn how to convert 1 em to inch step by step.

Calculation Breakdown

Set up the equation

1.0 (e m) = x (i n c h)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (e m) = \frac{1.0}{2835.0} (m e t e r) = \frac{1.0}{2835.0} (m)

Right side: 1.0 (i n c h) = 2.54 \times 10^{- 2} (m e t e r) = 2.54 \times 10^{- 2} (m)

Insert known values into the conversion equation to determine

x

1.0 (e m) = x (i n c h)

Insert known values =>

1.0 \times \frac{1.0}{2835.0} \times (m e t e r) = x \times 2.54 \times 10^{- 2} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{2835.0} \cdot (m) = x \cdot 2.54 \times 10^{- 2} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{2835.0} \cdot (m) = x \times 2.54 \times 10^{- 2} \times (m)

Conversion Equation

\frac{1.0}{2835.0} = x \times 2.54 \times 10^{- 2}

Switch sides

x \times 2.54 \times 10^{- 2} = \frac{1.0}{2835.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 2}})

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = \frac{1.0}{2835.0} \times \frac{1.0}{2.54 \times 10^{- 2}}

Cancel

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = \frac{1.0 \times 1.0}{2835.0 \times 2.54 \times 10^{- 2}}

Simplify

x = \frac{1.0}{2835.0 \times 2.54 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2}}{2835.0 \times 2.54}

Solve

x

x \approx 0.013887153 \approx 1.3887 \times 10^{- 2}

Conversion Equation

1.0 (e m) \approx 1.3887 \times 10^{- 2} (i n c h)

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